Pith Number

pith:WA7LEPYN

pith:2022:WA7LEPYNYZHG74DMMCIVD374H2

not attested not anchored not stored refs pending

Frobenius Non-Stability of Nilpotent Groups

Forrest Glebe

arxiv:2209.05425 v3 · 2022-09-12 · math.GR · math.KT · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WA7LEPYNYZHG74DMMCIVD374H2}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T05:57:32.009938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b03eb23f0dc64e6ff06c609151effc3ea231d5d128b1036e81ace4055b2fa800

Aliases

arxiv: 2209.05425 · arxiv_version: 2209.05425v3 · doi: 10.48550/arxiv.2209.05425 · pith_short_12: WA7LEPYNYZHG · pith_short_16: WA7LEPYNYZHG74DM · pith_short_8: WA7LEPYN

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/WA7LEPYNYZHG74DMMCIVD374H2 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: b03eb23f0dc64e6ff06c609151effc3ea231d5d128b1036e81ace4055b2fa800

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4966923b8c070da684b354c2bbd5bfc667e67647bb73ffb842b1b2929f2db230",
    "cross_cats_sorted": [
      "math.KT",
      "math.OA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2022-09-12T17:30:51Z",
    "title_canon_sha256": "1199d67653d42ea637afa18d51348559490e82f079171421f84859ddacdc996b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.05425",
    "kind": "arxiv",
    "version": 3
  }
}